23032002000 has 320 divisors, whose sum is σ = 85898502144. Its totient is φ = 5200243200.

The previous prime is 23032001977. The next prime is 23032002061. The reversal of 23032002000 is 20023032.

It is a super-2 number, since 2×23032002000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3482697 + ... + 3489303.

Almost surely, 2^23032002000 is an apocalyptic number.

23032002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23032002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42949251072).

23032002000 is an abundant number, since it is smaller than the sum of its proper divisors (62866500144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23032002000 is a wasteful number, since it uses less digits than its factorization.

23032002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6723 (or 6707 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 23032002000 its reverse (20023032), we get a palindrome (23052025032).

The spelling of 23032002000 in words is "twenty-three billion, thirty-two million, two thousand".